Sentence examples for by approximating a backward from inspiring English sources
The interface motion is made partially implicit by approximating a backward Euler step in the high wavenumbers as in the small scale decomposition method of Hou, Lowengrub and Shelley.
He achieved this by approximating a circle with a 96-sided polygon (see animation).
The characteristics derivative is approximated by a backward difference quotient along the approximate characteristic τ in the time stepping procedure [11].
The space dimension is approximated by a backward finite difference scheme and the set of ordinary differential equation obtained is solved with a stiff solver.
While for both (f'(0)<0) and (f'(1)<0) (bistable case), Yagisita in [10] revealed that the annihilation process is approximated by a backward global solution of (1.1), which is the entire solution.
If the spatial derivatives are approximated by a method akin to the ☐ scheme and if the temporal derivative is approximated by either a backward difference or the Crank-Nicholson scheme, we show that the resulting discretization is unconditionally stable.
We then extend the method to time-dependent problems by approximating the time derivative by means of backward difference formulae.
In the texture-mapping procedure, we begin by approximating the target surface with an approximating cylinder.
In the second step, the temporal derivative is approximated by forward difference; however, the spatial derivatives are still approximated by backward difference.
We introduce a fully discrete scheme for the inequality, using a finite element approach for the spatial approximation and a backward finite difference to approximate the time derivative.
